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Modified logarithmic Sobolev inequalities and transportation cost inequalities in $\\\\\\\\mathbb{R}^n$
Shao Jinghai * #
School of mathematics, Beijing Normal University
*Correspondence author
#Submitted by
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Funding: 国家自然科学基金,国家自然科学基金,教育部博士点基金（No. 10721091,2006CB805901,20070027007）
Opened online:13 February 2009
Accepted by: none
Citation: Shao Jinghai .Modified logarithmic Sobolev inequalities and transportation cost inequalities in $\\\\\\\\mathbb{R}^n$[OL]. [13 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28947
 
 
In this paper, the modified logarithmic Sobolev inequalities and transportation cost inequalities for measures with density $e^{-V}$ in $\\\\\\\\R^n$ are established. It is proved by using Pr\\\\\\\\\\\\\\\
Keywords:Modified logarithmic Sobolev inequalities;Pr‘ekopa-Leindler inequalities;Hamilton-Jacobi semigroups;Transportation cost inequalities
 
 
 

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